Vector L is 303 m long in a 205º direction. Vector M is
555 m long in a 105° direction.
Find the magnitude of their
vector sum

584.32m

Explanation:

Firstly, we need to find the x and y components of each vector.

x-component for vector L=303cos205°=-274.61

y-component for vector L=303sin205°=-128.05

x-component for vector M=555cos105°=-143.64

y-component for vector M=555sin105°=536.09

Since it's the vector sum, we add the x and y components of each vector.

Resultant vector x-component -274.61+(-143.64)=-418.25

Resultant vector y-component -128.05+536.09=408.04

Now, to find the magnitude, we use the formula

sqrt(-418.25^2+408.04^2)=584.32m

Check my work for errors just in case.

true tan speed = ang vel x radius

option number c is the right answer.